One refined passport of genus 13 with automorphism group $C_2\times C_4$

• Label: 13.8-2.0.2-2-2-2-2-2-2-4-4.26
• Genus: \(13\)
• Quotient genus: \(0\)
• Group: \(C_2\times C_4\)
• Signature: \([ 0; 2, 2, 2, 2, 2, 2, 2, 4, 4 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$13$
Quotient genus:	$0$
Group name:	$C_2\times C_4$
Group identifier:	$[8,2]$
Signature:	$[ 0; 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$

Conjugacy classes for this refined passport:

$2, 2, 2, 3, 3, 3, 3, 8, 8$

Jacobian variety group algebra decomposition:	$A_{2}\times A_{3}\times A_{7}\times E$
Corresponding character(s):	$2, 3, 4, 6$

Other Data

Hyperelliptic curve(s):	no
Cyclic trigonal curve(s):	no

Generating vector(s)

Displaying the unique generating vector for this refined passport.

13.8-2.0.2-2-2-2-2-2-2-4-4.26.1

	(1,2) (3,4) (5,6) (7,8)
	(1,2) (3,4) (5,6) (7,8)
	(1,2) (3,4) (5,6) (7,8)
	(1,3) (2,4) (5,7) (6,8)
	(1,3) (2,4) (5,7) (6,8)
	(1,3) (2,4) (5,7) (6,8)
	(1,3) (2,4) (5,7) (6,8)
	(1,8,2,7) (3,6,4,5)
	(1,8,2,7) (3,6,4,5)